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Answer :
Final answer:
The tension is approximately 114.6 pounds.
Explanation:
In this case, the object is in static equilibrium, which means the sum of the forces acting on the object is zero.
The force on the object due to gravity (its weight) is acting downward, while the tensions in the cables are acting upward and are angle 31° away from the vertical, symmetrically.
You can set up a simple equation to solve for the tension in one of the cables.
Since there are two cables and they share the weight of the object evenly, to find the tension, T, in one cable, you apply the trigonometric principle in this case.
The vertical component of the tension cancels out the weight of the object.
That is given by T*cos(31) = weight/2, solve this equation for T.
This results in T=((185 lbs)/2) / cos(31). Once you compute this calculation, you'll get approximately 114.6 lbs.
Therefore, the tension in each cable is about 114.6 pounds.
Learn more about Force and Motion here:
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